Question

Which of following is the simplified form of the expression $(27x^6{y}^{12}{)}^{\frac{1}{3}}$?

• A. $3x^2{y}^4$
• B. $9x^2{y}^4$
• C. $\frac{27x^6{y}^{12}}{3}$
• D. $(27x^6{y}^{12}{)}^{-13}$

Answer 1

The correct option is A $3x^2{y}^4$

$(27x^6{y}^{12}{)}^{\frac{1}{3}}$
By separating the powers, we get

$=3^{3\times \frac{1}{3}}{x}^{6\times \frac{1}{3}}{y}^{12\times \frac{1}{3}}$
$=3x^2{y}^4$
Choice (A) is correct.